Finding the Third Proportional to 78,420 and 185,094

Step by Step Solution

1. Step 1: Write the proportion equation
   78,420 : 185,094 = 185,094 : x
2. Step 2: Convert to fraction form
   78,420/185,094 = 185,094/x
3. Step 3: Cross multiply
   78,420x = 185,094 × 185,094
4. Step 4: Simplify right side
   78,420x = 34,259,788,836
5. Step 5: Solve for x
   x = 34,259,788,836/78,420
6. Step 6: Final answer
   x = 436,875.65